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Finding the Fourth Proportional to 16,510.84, 22,785 and 9,441.40

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Solution

The fourth proportional to 16,510.84, 22,785 and 9,441.40 is: 13,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.84 : 22,785 = 9,441.40 : x
  2. Step 2: Convert to fraction form
    16,510.84/22,785 = 9,441.40/x
  3. Step 3: Cross multiply
    16,510.84x = 22,785 × 9,441.40
  4. Step 4: Simplify right side
    16,510.84x = 215,122,299
  5. Step 5: Solve for x
    x = 215,122,299/16,510.84
  6. Step 6: Final answer
    x = 13,029.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.